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Finding the Fourth Proportional to 647.12, 975.56 and 605.36

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Solution

The fourth proportional to 647.12, 975.56 and 605.36 is: 912.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.12 : 975.56 = 605.36 : x
  2. Step 2: Convert to fraction form
    647.12/975.56 = 605.36/x
  3. Step 3: Cross multiply
    647.12x = 975.56 × 605.36
  4. Step 4: Simplify right side
    647.12x = 590,565.00
  5. Step 5: Solve for x
    x = 590,565.00/647.12
  6. Step 6: Final answer
    x = 912.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.